Michele Delvecchio1,2, Francesco Petiziol3, Ennio Arimondo4,5, Sandro Wimberger1,2
1Department of Mathematical, Physical and Computer Sciences, University of Parma, Parco Area delle Scienze 7/A, 43124, Parma, Italy
2National Institute for Nuclear Physics (INFN), Milano Bicocca Section, Parma Group, Parco Area delle Scienze 7/A, 43124, Parma, Italy
3Institut fu ̈r Theoretische Physik, Fakultat ̈at II Mathematik und Naturwissenschaften, Technische Universit ̈at Berlin, Eugene-P.-Wigner-Geb ̈aude, Hardenbergstr. 36, 10623 Berlin-Charlottenburg, Germany
4Dipartimento di Fisica E.Fermi, Universit`a di Pisa – Largo B. Pontecorvo 3, 56127 Pisa, Italy 5INO-CNR, via G.Moruzzi 1, 56124 Pisa, Italy
Controlling experimental quantum systems is one of the challenges in the last years, both from a fundamental and practical perspective. One of the most significant application is the control of interacting systems, for instance, qubits in a quantum computer. In the latter case, in particular, one wants to perform quantum operations without errors, namely with high fi- delity. However, imperfections in the control parameters, imposed by the technological limits, can generate errors during a quantum operation, degrading the performance of the system. In this contribution, I am going to show that it is possible to properly tune the interaction between the qubits to mitigate static errors generated by, for instance, control parameter imperfections. In particular, due to the difficulty in analyzing a large number of qubits, we reduced our prob- lem to two qubits, deriving then an analytical optimal condition for their interaction strength.
 M. Delvecchio, F. Petiziol, E. Arimondo and S. Wimberger, Atomic interactions for qubit-error compensations, arXiv:2104.10928 (2021)